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Finding the Fourth Proportional to 379,375.44, 569,124.60 and 116,658

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Solution

The fourth proportional to 379,375.44, 569,124.60 and 116,658 is: 175,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,375.44 : 569,124.60 = 116,658 : x
  2. Step 2: Convert to fraction form
    379,375.44/569,124.60 = 116,658/x
  3. Step 3: Cross multiply
    379,375.44x = 569,124.60 × 116,658
  4. Step 4: Simplify right side
    379,375.44x = 66,392,937,586.80
  5. Step 5: Solve for x
    x = 66,392,937,586.80/379,375.44
  6. Step 6: Final answer
    x = 175,005.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.